Comprehension

The following table shows the percentage (%) distribution of total population. literate males and literate females in six cities A-F. In all six cities together. total population, number of literate males and number of literate females are 1.5 crore. 40 lakh and 25 lakh. respectively. Ratio of males to females among the total population is 8 ∶ 7. Based on the data in the table. answer the question:

City – wise Distribution of Population

City

(%) Population (out of 1.5 crore)

(%) Literate Males (out of 40 lakh)

(%) Literate Females (out of 25 lakh)

A

16%

18%

24%

B

18%

12%

18%

C

21%

20%

12%

D

15%

16%

16%

E

20%

19%

20%

F

10%

15%

10%

The difference between the illiterate population and the literate population of City C is

This question was previously asked in
UGC NET Paper 1: Held on 8 Oct 2022 Shift 2
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  1. 8.5 lakh
  2. 9.5 lakh
  3. 10.5 lakh
  4. 11 lakh

Answer (Detailed Solution Below)

Option 2 : 9.5 lakh
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Detailed Solution

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Concept Used:-

The percentage is the number or ratio which can be expression in the fraction of hundred.

For example, if we have to find out the x% of 50. Then, we have to divide x with 100 and multiplied with 50.

\(x\% \text{ of }50=\dfrac{x}{100}\times50\)

Explanation:-

Total population of city C using the above formula,

\(\Rightarrow \rm Total \ Population=\dfrac{21}{100}\times15000000\\ \Rightarrow \rm Total \ Population=3150000\)

Total literate population of city C,

⇒ Literate population = Literate Males + Literate Females\(\Rightarrow \rm Literate \ Population= \dfrac{20}{100}\times4000000+\dfrac{12}{100}\times2500000\\ \Rightarrow \rm Literate \ Population= 800000+300000\\ \Rightarrow \rm Literate \ Population= 1100000\)

Now, total illiterate population,

⇒ Illiterate population = Total population - Literate population

Illiterate population = 3150000 - 1100000

⇒ Illiterate population = 2050000

difference between the illiterate population and the literate population,

⇒ 2050000 - 110000 = 950000

⇒ 2050000 - 110000 = 9.5 lakh

So, the difference between the illiterate population and the literate population of City C is 9.5 lakh.

Hence, the correct option is 2.

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